Finding the Third Proportional to 123,371.44 and 185,969.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,371.44 : 185,969.25 = 185,969.25 : x
2. Step 2: Convert to fraction form
   123,371.44/185,969.25 = 185,969.25/x
3. Step 3: Cross multiply
   123,371.44x = 185,969.25 × 185,969.25
4. Step 4: Simplify right side
   123,371.44x = 34,584,561,945.56
5. Step 5: Solve for x
   x = 34,584,561,945.56/123,371.44
6. Step 6: Final answer
   x = 280,328.76